The Spectrum of Random Matrices

The Frobenius eigenvector of a positive square matrix is obtained by iterating the multiplication of an arbitrary positive vector by the matrix. Bródy (1997) noticed that, when the entries of the matrix are independently and identically distributed, the speed of convergence increases statistically with the dimension of the matrix. As the speed depends on the ratio between the subdominant and the dominant eigenvalues, Bródy's conjecture amounts to stating that this ratio tends to zero when the dimension tends to infinity. The paper provides a simple proof of the result. Some mathematical and economic aspects of the problem are discussed.     

家族企业要行使好所有权

那些能够延续三代或三代以上的家族企业,往往比其他同类企业更具竞争力。＂家族＂的两个难题家族企业往往是一种被忽略的所有制形式。然而,家族企业无所不在：从社区周围的夫妻店,到数百万支撑众多经济体的中小型企业,再到宝马、三星和沃尔玛等家喻户晓的巨头,到处都能见到家族企业的身影。     

Prices of Goods' and ‘Bads’: An Application of the Ricardian Theory of Differential Rent

Pollutants, wastes and scrap appear as joint products of consumption or production processes. Leontief and other authors extend input–output (IO) tables such that additional products and industries, respectively, account for pollutants and abatement activities; they also analyze the effects of pollution control policies, by means of traditional IO methods. This approach does not account for choice of technique and, therefore, neglects the possibility of substitution. This paper proposes to utilize Ricardo's theory of differential rent, which is based on the possibility of coexisting technical alternatives.     

BROADCASTING LICENCE FEE SETTLEMENTS IN THE UK AND GERMANY

In October 2010 the British and German broadcasting licence fees were settled. In the UK, the BBC's worst settlement in its history appears moderate compared with other cuts in public sector spending. However, whereas the near future of the Corporation and public service broadcasting (PSB) in the UK may lie in the provision of narrower services and competitive funding, in Germany the current change of the fee towards an excise duty make ARD and ZDF, the two key German PSB organisations, appear stronger than ever. The implementation of the new model will harm individual freedom, commercial broadcasting operators and the taxpayer.